You may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer computerized electronic Car compact 50 41 Intermediate 56 45 Full Sized 62 46 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized = ?Electronic Ha: ?Computerized ≠ ?ElectronicH0: ?Computerized ≠ ?Electronic Ha: ?Computerized = ?Electronic H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sized Ha: Not all the population means are equal.H0: ?Compact = ?Intermediate = ?Full-sized Ha: ?Compact ≠ ?Intermediate ≠ ?Full-sizedH0: ?Compact ≠ ?Intermediate ≠ ?Full-sized Ha: ?Compact = ?Intermediate = ?Full-sized Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Do not reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. Reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.

		Analyzer
		computerized	electronic
Car	compact	50	41
	Intermediate	56	45
	Full Sized	62	46

Use ? = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

H₀: ?_Computerized = ?_Electronic
H_a: ?_Computerized ≠ ?_ElectronicH₀: ?_Computerized ≠ ?_Electronic
H_a: ?_Computerized = ?_Electronic H₀: ?_Computerized = ?_Electronic = ?_Compact = ?_Intermediate = ?_Full-sized
H_a: Not all the population means are equal.H₀: ?_Compact = ?_Intermediate = ?_Full-sized
H_a: ?_Compact ≠ ?_Intermediate ≠ ?_Full-sizedH₀: ?_Compact ≠ ?_Intermediate ≠ ?_Full-sized
H_a: ?_Compact = ?_Intermediate = ?_Full-sized

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Do not reject H₀. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. Reject H₀. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Reject H₀. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.

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